Of the three relevant labour unions in Sweden, the two smaller ones are politically independent while the big and strong one is essentially a part of the opposition Social democratic party. Or rather, the social democratic party is more like the political wing of the labour union, LO. So I fail to see why labour unions would feel any loyalty to the current centre-right government. If there is any example of the labour union feeling a greater loyalty to the (soc dem) party than its members, it's in their absurd resistance to the series of tax cuts which have been very profitable to their members. So what they should have done: support the tax cuts, support higher wages. What they did do: oppose tax cuts, oppose higher wages. Brilliant people, really.

I see it as NAIRU-policy working. Keep an army of unemployed and make sure to harass them sufficiently and the unions will act to keep their members from being umeployed rather then increased wages. Unions with a minimal unemployment among its members are still good at delivering pay increases. Of course, that is mainly unions for high-qualified personel and thus small unions, like for example the doctors union.